find the members of the pythagorean triplet if the smallest number is 34
Answers
Answer:
34,288,290
Step-by-step explanation:
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✿ Question ✿
Find the members of the pythagorean triplet if the smallest number is 34.
✿ Given ✿
The smallest number is 34.
✿ To find ✿
The other members of the pythagorean triplet.
✿ Formula ✿
Pythagorean triplet with x
= {2x, (x²-1), (x²+1)}
✿ Solution ✿
Since, 34 is the smallest number, then according to the formula it in 2x.
So, we have to find x.
2x = 34
↝x = 34/2
↝x = 17
So, x = 17
To find the triplet with 34 as the smallest number, we have to write 17 instead of x in the formula.
So, the triplet
= {2x, (x²-1), (x²+1)}
= {(2×17), (17²-1), (17²+1)}
= {34, (289-1), (289+1)}
= (34, 288, 290)
✿ Hence ✿
The triplet is (34, 288, 290).
The members of the triplet = 34, 288, 290.
✿ Therefore ✿
The members of the pythagorean triplet are 34, 288 and 290.
๑ Hope this helps you. ๑